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dlinn [17]
3 years ago
6

a term of scientists surveying a forest found that there were four oak trees for every 10 pine trees. if they counted 24 more pi

ne trees than oak trees in total, how many oak trees were there in the forest
Mathematics
1 answer:
Jet001 [13]3 years ago
3 0

Answer:

There are 16 Oak tree in the forest.

Step-by-step explanation:

Given: There are 4 Oak tree on every 10 pine trees.

           There are total 24 more pine tree than Oak tree.

 Using the ratio of trees to find the number of trees.

Lets assume there are total number of Oak tree be "x".

∴ Total number of Pine trees will be "x+24"

We know the ratio of Oak to Pine tree is 4:10 or \frac{4}{10}

⇒\frac{x}{x+24} = \frac{4}{10}

Multiplying both side by x+24

⇒ x= \frac{4(x+24)}{10}

Using distributive property of multiplication, distributing 4 with x and 24.

⇒ x= \frac{4x+96}{10}

Multiplying both side by 10

⇒ 10x= 4x+96

subtracting both side by 4x

⇒ 6x= 96

dividing both side by 6

⇒x= \frac{96}{6}

∴ x= 16

Hence, There are 16 Oak trees in the forest.

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A store charges 5.5 % sales tax on all items. If an item costs d dollars before tax, which expression represents the total cost
Black_prince [1.1K]

Answer: d + 0.055d or 1.055d

Step-by-step explanation:

Cost of item = d

Sales tax percent = 5.5%

Total cost = Cost of item + Sales tax

= d + (5.5% × d)

= d + (5.5/100 × d)

= d + (0.055 × d)

= d + 0.055d

= 1.055d

Therefore, the expression that represents the total cost of the item, in dollars and cents, after tax will be:

d + 0.055d or 1.055d.

7 0
3 years ago
Keisha went into a park at 1:30 pm she hiked for 1 hour 35 minutes. Then she went to the picnic area for 45 minutes and left the
nata0808 [166]

Answer:

3:50pm

Time Keisha went to the park- 1:30pm

Time spent for hiking- 1hour 35 minutes

Time spent at the picnic area- 45 minutes

1: 30pm

<u>+1. 35mi</u>n

<u> 2: 65pm</u>

But 60 minutes is 1 hour so the 65 will be changed to 1 hour 5 minutes making it

3: 05pm

3: 05pm

<u>+0: 45min</u>

<u> 3: 50pm</u>

Hence the time Keisha left the park was 3:50pm

3 0
3 years ago
Which is the sum of 3.15 × 107 + 9.3 × 106? Write your answer in scientific notation.
BartSMP [9]

Answer:

Scientific Notation:

1.32285 × 10^3

E-Notation:

1.32285e3

Engineering Notation:

1.32285 × 10^3

Real Number:

1322.85

Step-by-step explanation:

7 0
3 years ago
Help with question number one please
coldgirl [10]

Answer:

165 hits

Step-by-step explanation:

27.5% of 600 is 600 x 27.5 / 100 = 165

4 0
2 years ago
A sociologist develops a test to measure attitudes towards public transportation, and 27 randomly selected subjects are given th
taurus [48]

Answer:

The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 27 - 1 = 26

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0518

The margin of error is:

M = T\frac{s}{\sqrt{n}}

In which s is the standard deviation of the sample and n is the size of the sample.

In this question:

n = 27, s = 21.4. So

M = 2.0518\frac{21.4}{\sqrt{27}}

M = 8.45

The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.

5 0
3 years ago
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